On Homomorphisms between C*-Algebras and Linear Derivations on C*-Algebras

Park, Chun-Gil; Chu, Hahng‐Yun; Park, Won-Gil; Wee, Hee-Jeong

doi:10.1007/s10587-005-0086-x

Cited by 11 publications

(13 citation statements)

References 9 publications

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“…By the same reasoning as in the proof of Theorem 11 in [24], the mapping D : A → A is a derivation satisfying (5.4). [16,24] Let p and θ be positive real numbers with p < 1, and let f : A → A be a mapping satisfying (5.1) and (5.3) such that…”

Section: Stability Of Derivations On a C * -Algebramentioning

confidence: 90%

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Approximate Isomorphisms in C *-Algebras

Park

2008

Acta Appl Math

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Section: Stability Of Derivations On a C * -Algebramentioning

confidence: 90%

“…Thus the multiplicative bijective mapping f : A → B is a C * -algebra isomorphism. [17,20,24] Let p and θ be positive real numbers with p < 1 3 , and let f : A → B be a multiplicative bijective mapping satisfying (2.8) and (2.11) such that…”

Section: Theorem 23mentioning

confidence: 99%

Approximate Isomorphisms in C *-Algebras

Park

2008

Acta Appl Math

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“…This type of stability involving a product of powers of norms is called Ulam-Gavruta-Rassias Stability by Bouikhalene and Elquorachi [3], Nakmahachalasint [17,18], Park and Najati [19], Pietrzyk [20] and Sibaha et al [30].…”

Section: Theorem 12 (Rassiasmentioning

confidence: 99%

Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields

Ravi

Rassias

Kumar³

2015

Arab. J. Math.

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In this paper, we obtain the solution of a new generalized reciprocal type functional equation in two variables and investigate its generalized Hyers-Ulam stability in non-Archimedean fields. We also present the pertinent stability results of Hyers-Ulam-Rassias stability, Ulam-Gavruta-Rassias stability and J. M. Rassias stability controlled by the mixed product-sum of powers of norms. Mathematics Subject Classification 39B82 · 39B72

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“…Czerwik [11] proved the Hyers-Ulam stability of the quadratic functional equation. The stability problems of several functional equations have been extensively investigated by a number of authors and there are many interesting results concerning this problem (see [15,20,23], [35]- [37], [41]- [50]). …”

Section: Introductionmentioning

confidence: 99%

Fixed Points and Fuzzy Stability of Functional Equations Related to Inner Product

Jang¹,

Park²,

Kenary³

2012

Journal of Nonlinear Analysis and Application

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In [40], Th.M. Rassias introduced the following equality, then the mapping f : V → W is realized as the sum of an additive mapping and a quadratic mapping. From the above equality we can define the functional equationwhich is called a quadratic functional equation. Every solution of the quadratic functional equation is said to be a quadratic mapping.Using fixed point theorem we prove the Hyers-Ulam stability of the functional equation (0.1) in fuzzy Banach spaces.

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On Homomorphisms between C-Algebras and Linear Derivations on C-Algebras

Cited by 11 publications

References 9 publications

Approximate Isomorphisms in C *-Algebras

Approximate Isomorphisms in C *-Algebras

Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields

Fixed Points and Fuzzy Stability of Functional Equations Related to Inner Product

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